Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Ralph Kopperman, Prakash Panangaden, Michael B. Smyth, Dieter Spreen, and Julian Webster. 04351 Abstracts Collection – Spatial Representation: Discrete vs. Continuous Computational Models. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{kopperman_et_al:DagSemProc.04351.1, author = {Kopperman, Ralph and Panangaden, Prakash and Smyth, Michael B. and Spreen, Dieter and Webster, Julian}, title = {{04351 Abstracts Collection – Spatial Representation: Discrete vs. Continuous Computational Models}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--24}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.1}, URN = {urn:nbn:de:0030-drops-1742}, doi = {10.4230/DagSemProc.04351.1}, annote = {Keywords: Domain theory , formal topology , constructive topology , domain representation, space-time , quantum gravity , inverse limit construction, matroid geometry , descriptive set theory , Borel hierarchy , Hausdorff difference hierarchy , Wadge degree partial metric , fractafold , region geometry , oriented projective geometry} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Reinhold Heckmann. A Cartesian Closed Extension of the Category of Locales. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{heckmann:DagSemProc.04351.3, author = {Heckmann, Reinhold}, title = {{A Cartesian Closed Extension of the Category of Locales}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--20}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.3}, URN = {urn:nbn:de:0030-drops-1339}, doi = {10.4230/DagSemProc.04351.3}, annote = {Keywords: Locale , Cartesian closed category} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
John L. Pfaltz. A Category of Discrete Closure Spaces. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{pfaltz:DagSemProc.04351.4, author = {Pfaltz, John L.}, title = {{A Category of Discrete Closure Spaces}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--16}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.4}, URN = {urn:nbn:de:0030-drops-1253}, doi = {10.4230/DagSemProc.04351.4}, annote = {Keywords: Category , closure , antimatroid , function} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Keye Martin and Prakash Panangaden. A domain of spacetime intervals in general relativity. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-28, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{martin_et_al:DagSemProc.04351.5, author = {Martin, Keye and Panangaden, Prakash}, title = {{A domain of spacetime intervals in general relativity}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--28}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.5}, URN = {urn:nbn:de:0030-drops-1350}, doi = {10.4230/DagSemProc.04351.5}, annote = {Keywords: Causality , spacetime , global hyperbolicity , interval domains , bicontinuous posets , spacetime topology} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Jonathan Gratus and Timothy Porter. A geometry of information, I: Nerves, posets and differential forms. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{gratus_et_al:DagSemProc.04351.6, author = {Gratus, Jonathan and Porter, Timothy}, title = {{A geometry of information, I: Nerves, posets and differential forms}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.6}, URN = {urn:nbn:de:0030-drops-1268}, doi = {10.4230/DagSemProc.04351.6}, annote = {Keywords: Chu spaces , nerves , differential forms} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Jonathan Gratus and Timothy Porter. A geometry of information, II: Sorkin models, and biextensional collapses. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{gratus_et_al:DagSemProc.04351.7, author = {Gratus, Jonathan and Porter, Timothy}, title = {{A geometry of information, II: Sorkin models, and biextensional collapses}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.7}, URN = {urn:nbn:de:0030-drops-1271}, doi = {10.4230/DagSemProc.04351.7}, annote = {Keywords: Chu space , Sorkin model , Nerve} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Chris God, Achim Jung, Robin Knight, and Ralph Kopperman. Auxiliary relations and sandwich theorems. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{god_et_al:DagSemProc.04351.8, author = {God, Chris and Jung, Achim and Knight, Robin and Kopperman, Ralph}, title = {{Auxiliary relations and sandwich theorems}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--4}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.8}, URN = {urn:nbn:de:0030-drops-1348}, doi = {10.4230/DagSemProc.04351.8}, annote = {Keywords: Adjoint , auxiliary relation , continuous poset , pairwise completely regular (and pairwise normal) bitopological space , upper (lower) semicontinuous Urysohn relation} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Jamie Johnson and Tom Richmond. Continued Radicals. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{johnson_et_al:DagSemProc.04351.10, author = {Johnson, Jamie and Richmond, Tom}, title = {{Continued Radicals}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--4}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.10}, URN = {urn:nbn:de:0030-drops-1286}, doi = {10.4230/DagSemProc.04351.10}, annote = {Keywords: Continued radical} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Ulrich Berger. Continuous Semantics for Termination Proofs. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{berger:DagSemProc.04351.11, author = {Berger, Ulrich}, title = {{Continuous Semantics for Termination Proofs}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--19}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.11}, URN = {urn:nbn:de:0030-drops-1300}, doi = {10.4230/DagSemProc.04351.11}, annote = {Keywords: Higher-order term rewriting , termination , domain theory} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Martin Raussen. Deadlocks and Dihomotopy in Mutual Exclusion Models. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{raussen:DagSemProc.04351.12, author = {Raussen, Martin}, title = {{Deadlocks and Dihomotopy in Mutual Exclusion Models}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--8}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.12}, URN = {urn:nbn:de:0030-drops-1364}, doi = {10.4230/DagSemProc.04351.12}, annote = {Keywords: Mutual exclusion , deadlock detection , dihomotopy} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Lisbeth Fajstrup. Dihomotopy Classes of Dipaths in the Geometric Realization of a Cubical Set: from Discrete to Continuous and back again. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{fajstrup:DagSemProc.04351.13, author = {Fajstrup, Lisbeth}, title = {{Dihomotopy Classes of Dipaths in the Geometric Realization of a Cubical Set: from Discrete to Continuous and back again}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--3}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.13}, URN = {urn:nbn:de:0030-drops-1328}, doi = {10.4230/DagSemProc.04351.13}, annote = {Keywords: Cubical Complex , Higher Dimensional Automaton , Ditopology} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Samson Abramsky and Bob Coecke. Discrete classical vs. continuous quantum data in abstract quantum mechanics. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{abramsky_et_al:DagSemProc.04351.14, author = {Abramsky, Samson and Coecke, Bob}, title = {{Discrete classical vs. continuous quantum data in abstract quantum mechanics}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--21}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.14}, URN = {urn:nbn:de:0030-drops-1316}, doi = {10.4230/DagSemProc.04351.14}, annote = {Keywords: Category theory , strong compact closure , quantum information-flow} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Hideki Tsuiki. Dyadic Subbases and Representations of Topological Spaces. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{tsuiki:DagSemProc.04351.15, author = {Tsuiki, Hideki}, title = {{Dyadic Subbases and Representations of Topological Spaces}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--8}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.15}, URN = {urn:nbn:de:0030-drops-1376}, doi = {10.4230/DagSemProc.04351.15}, annote = {Keywords: Dyadic subbase , embedding , computation over topological spaces , Plotkin's \$T^\backslashomega\$} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Edward L. F. Moore, Thomas J. Peters, David R. Ferguson, and Neil F. Stewart. Integrating Topology and Geometry for Macro-Molecular Simulations. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{moore_et_al:DagSemProc.04351.16, author = {Moore, Edward L. F. and Peters, Thomas J. and Ferguson, David R. and Stewart, Neil F.}, title = {{Integrating Topology and Geometry for Macro-Molecular Simulations}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.16}, URN = {urn:nbn:de:0030-drops-1240}, doi = {10.4230/DagSemProc.04351.16}, annote = {Keywords: Computational topology , spline , approximation} }
Published in: Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005)
Hans-Peter A. Künzi and Dominic van der Zypen. The Construction of Finer Compact Topologies. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
@InProceedings{kunzi_et_al:DagSemProc.04351.18, author = {K\"{u}nzi, Hans-Peter A. and Zypen, Dominic van der}, title = {{The Construction of Finer Compact Topologies}}, booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models}, pages = {1--5}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2005}, volume = {4351}, editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.18}, URN = {urn:nbn:de:0030-drops-1224}, doi = {10.4230/DagSemProc.04351.18}, annote = {Keywords: Maximal compact , KC-space , sober , US-space , locally compact , sequential , sequentially compact} }
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